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Finding the Fourth Proportional to 2,471.05, 3,705.90 and 1,010.35

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Solution

The fourth proportional to 2,471.05, 3,705.90 and 1,010.35 is: 1,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.05 : 3,705.90 = 1,010.35 : x
  2. Step 2: Convert to fraction form
    2,471.05/3,705.90 = 1,010.35/x
  3. Step 3: Cross multiply
    2,471.05x = 3,705.90 × 1,010.35
  4. Step 4: Simplify right side
    2,471.05x = 3,744,256.07
  5. Step 5: Solve for x
    x = 3,744,256.07/2,471.05
  6. Step 6: Final answer
    x = 1,515.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.